ELEMENTARY PAIRS OF PSEUDO-FINITE FIELDS - COUNTING COMPLETIONS

Authors
LEJEUNE H
Citation
H. Lejeune, ELEMENTARY PAIRS OF PSEUDO-FINITE FIELDS - COUNTING COMPLETIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 326(6), 1998, pp. 657-660
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
326
Issue
6
Year of publication
1998
Pages
657 - 660
Database
ISI
SICI code
0764-4442(1998)326:6<657:EPOPF->2.0.ZU;2-C
Abstract
Let Pi be a complete theory of pseudo-finite fields. In this Note we p rove that, in the langage of fields to which we add a unary predicate for a substructure, the theory of non-trivial elementary pairs of mode ls of Pi has 2(aleph 0) completions, that is, the maximum that could e xist. For a more detailed presentation, see [5]. (C) Academic des Scie nces/Elsevier, Paris.